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Finding the Fourth Proportional to 5,230.12, 7,844.94 and 1,767.40

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Solution

The fourth proportional to 5,230.12, 7,844.94 and 1,767.40 is: 2,651.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.12 : 7,844.94 = 1,767.40 : x
  2. Step 2: Convert to fraction form
    5,230.12/7,844.94 = 1,767.40/x
  3. Step 3: Cross multiply
    5,230.12x = 7,844.94 × 1,767.40
  4. Step 4: Simplify right side
    5,230.12x = 13,865,146.96
  5. Step 5: Solve for x
    x = 13,865,146.96/5,230.12
  6. Step 6: Final answer
    x = 2,651.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.